532 Mr. G. W. Walker on the Distribution of 



from the electrochemical equivalent. K for a gas is, how- 

 ever, so nearly 1 that we may take it as 1 without vitiating 

 our results. 



The equation for % is then 



y 2 ^ = 4 7 re(N 2 6 e ^_N 1 e-^). 



In this general form little can be done with the equation ; 

 but when % depends only on x we can obtain the complete 

 integral 



~dx 



|4= 47T<>(ISV 4 x-N 1 e-« J *). 



(jX 



Multiply by ^- and integrate, 



QX 



where B is an arbitrary constant. 

 This may be rewritten 



where 



Put 



and we get 



N, 



cosh(^) = 



(%) 2 =^,WAi-f}{^^ r ^} 



cosh e -^ = sn(\x + /3,k) 



Thus 



4- 



k* = 



2 + 



B 



2 + 



if 



_B 



=1 



2 + 



and /3 is an arbitrary constant, 



^ J* is > 1 



B 



<i, 



2 + 



B 



